Search a number
-
+
20132885344 = 25111341107309
BaseRepresentation
bin10010110000000000…
…110111001101100000
31220222002120112200011
4102300000313031200
5312213004312334
613125433334304
71311624462505
oct226000671540
956862515604
1020132885344
1185a1541820
123a9a567394
131b8b093810
14d8dbd74ac
157cc769564
hex4b0037360

20132885344 has 96 divisors (see below), whose sum is σ = 47702299680. Its totient is φ = 8241254400.

The previous prime is 20132885327. The next prime is 20132885347. The reversal of 20132885344 is 44358823102.

It is a junction number, because it is equal to n+sod(n) for n = 20132885297 and 20132885306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132885347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133962 + ... + 241270.

It is an arithmetic number, because the mean of its divisors is an integer number (496898955).

Almost surely, 220132885344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132885344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851149840).

20132885344 is an abundant number, since it is smaller than the sum of its proper divisors (27569414336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20132885344 is a wasteful number, since it uses less digits than its factorization.

20132885344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107384 (or 107376 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 20132885344 in words is "twenty billion, one hundred thirty-two million, eight hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 82 88 104 143 164 176 208 286 328 352 416 451 533 572 656 902 1066 1144 1312 1804 2132 2288 3608 4264 4576 5863 7216 8528 11726 14432 17056 23452 46904 93808 107309 187616 214618 429236 858472 1180399 1395017 1716944 2360798 2790034 3433888 4399669 4721596 5580068 8799338 9443192 11160136 15345187 17598676 18886384 22320272 30690374 35197352 37772768 44640544 48396359 57195697 61380748 70394704 96792718 114391394 122761496 140789408 193585436 228782788 245522992 387170872 457565576 491045984 629152667 774341744 915131152 1258305334 1548683488 1830262304 2516610668 5033221336 10066442672 20132885344